177 citations · 1.7k across the 51 of their papers we have counts for
56 papers
Representations of shifted quantum affine algebras and cluster algebras I. The simply-laced case
Christof Geiss, David Hernandez, Bernard Leclerc
We introduce a family of cluster algebras of infinite rank associated with root systems of type , , . We show that suitable completions of these cluster algebras are isomo…
Strongly primitive species with potentials: aims and limitations
Daniel Labardini-Fragoso
This is an extended abstract of my talk at the Oberwolfach Workshop ''Cluster Algebras and Related Topics'' (December 8 - 14, 2013). It is based on a joint work with A. Zelevinsky…
The positive Grassmannian, the amplituhedron, and cluster algebras
Lauren K. Williams
The positive Grassmannian is the subset of the real Grassmannian where all Plücker coordinates are nonnegative. It has a beautiful combinatorial structure as we…
Quantum affine algebras and cluster algebras
David Hernandez, Bernard Leclerc
This article is an extended version of the minicourse given by the second author at the summer school of the conference "Interactions of quantum affine algebras with cluster algebr…
Rigid modules and Schur roots
Christof Geiß, Bernard Leclerc, Jan Schröer
Let be a symmetrizable generalized Cartan matrix with symmetrizer and orientation . In previous work we associated an algebra to this data, such that the locally fre…
Quantum cluster algebras and their specializations
Christof Geiß, Bernard Leclerc, Jan Schröer
We show that in case a cluster algebra coincides with its upper cluster algebra and the cluster algebra admits a grading with finite dimensional homogeneous components, the corresp…